Question

Find the unknown side length, x. Write your answer in simplest radical form.
Serious answers only!!!! TEST QUESTION!!

Answer 1

Answer:-

your answer is option (B) $\tt 11\sqrt{2}.$

Explanation:-

let us name the given figure ABCD .

From the fig. in the Attachment , we can see that:-

$\tt\implies AB = BD = CD = 11 .$

Also,

$\tt\angle BDC = 90\degree.$

Now,

By applying pythagoras theorem:-

$\tt \implies H {}^{2} =B {}^{2} + P {}^{2} .$

Where,

• H = Hypotenuse.
• B = Base
• P = Perpendicular of a right angled triangle.

$\tt \implies BC^2 = DC^2+BD^2.$

$\tt \implies x^2 = 11^2 + 11^2.$

$\tt \implies x^2 = 242.$

$\tt \implies x = \sqrt{242}.$

$\large{\implies{\boxed{\blue{\boxed{\red{\underline{\bf{x = 11\sqrt{2}}}}}}}}}.$

$\bf\therefore$ The Correct Option Is B.